The paper discusses vibrations of a discrete system with damping, which are caused by impulses with a stochastic value of an impulse and stochastic moments of excitation of the movement. The analysis of the recorded trajectory of vibrations of the oscillator showed that the parameters of the system's responses to subsequent hits undergo changes. The changes of the parameters of the system depend on the duration of work of the oscillator, the intensity of the impulses as well as the temperature of the environment. The study attempts to approximate these changes so that it becomes possible to determine the distribution of stochastic impulses.
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